335622400 has 81 divisors (see below), whose sum is σ = 834361311. Its totient is φ = 133662720.

The previous prime is 335622383. The next prime is 335622401. The reversal of 335622400 is 4226533.

It is a happy number.

The square root of 335622400 is 18320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 45805824 + 289816576 = 6768^2 + 17024^2 .

It is a super-2 number, since 2×335622400² = 225284790763520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (335622401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1465486 + ... + 1465714.

Almost surely, 2^335622400 is an apocalyptic number.

335622400 is the 18320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335622400

335622400 is an abundant number, since it is smaller than the sum of its proper divisors (498738911).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

335622400 is an frugal number, since it uses more digits than its factorization.

335622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The cubic root of 335622400 is about 694.9448052366.

Multiplying 335622400 by its sum of digits (25), we get a square (8390560000 = 91600²).

335622400 divided by its sum of digits (25) gives a square (13424896 = 3664²).

Adding to 335622400 its reverse (4226533), we get a palindrome (339848933).

The spelling of 335622400 in words is "three hundred thirty-five million, six hundred twenty-two thousand, four hundred".